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the function
[tex]c(x) = 72 \times (1.04) ^{x} [/tex]
models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 2010.

a. does the cost of the chemical increase or decrease over time, and by what percentage per year does it do so?

b. how much does an ounce of the chemical cost in 2018? Show your reasoning ​

Respuesta :

kudzordzifrancis

Answer:

a) increase by 4%

b) $ 98.54

Step-by-step explanation:

The given function is

[tex]c(x) = 72 \times (1.04) ^{x}[/tex]

We can rewrite this function as

[tex]c(x) = 72 \times (1 + 4\%) ^{x}[/tex]

Therefore the cost of the chemical increase over time by 4%

b) We want to find how much an ounce of the chemical cost in 2018.

Since 2010 to 2018, 8 years have passed.

We substitute x=8 to get:

[tex]f(8) =72 {(1.04)}^{8} [/tex]

[tex]f(8) =98.54[/tex]

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